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Authors: Dimitri Harder ; Edmond Skeli and Dirk Weidemann

Affiliation: Institute of System Dynamics and Mechatronics, University of Applied Sciences Bielefeld, Bielefeld and Germany

ISBN: 978-989-758-321-6

Keyword(s): Navier-Stokes, Differential-Algebraic Equation, Marker and Cell, Fluid Simulation, Free Surface.

Related Ontology Subjects/Areas/Topics: Industrial Engineering ; Informatics in Control, Automation and Robotics ; Modeling, Simulation and Architectures ; Robotics and Automation ; Signal Processing, Sensors, Systems Modeling and Control ; System Modeling ; Systems Modeling and Simulation

Abstract: With the aim of using efficient control and/or diagnostic methods, more and more companies in the process engineering industry are using mathematical models to describe the underlying physical processes in sufficient detail. Against this background, the modeling and simulation of the behaviour of a non-isothermal, highly viscous fluid flow is examined in this paper. The behaviour of the fluid is decribed by a system of partial differential equations, which includes the incompressible Navier-Stokes equations as well as the thermal energy equation. With regard to the numerical calculation of the process variables, a combination of the Marker and Cell (MAC) method and a temperature calculation on a curvilinear grid is presented. The MAC method is used to identify the free surface by inserting particles without masses over the initialized fluid area and moving them with the calculated velocities. A characteristic feature of the typical use of the MAC method is that the defining partial di fferential equations are discretized spatially on a rectangular grid. However, this leads to the problem that a large part of the grid nodes lies within the obstacles which are surrounded by the fluid. In the present model, on the other hand, a curvilinear grid is used. The main advantage of this is that the outer grid nodes lie directly on the surrounding obstacles, resulting in a reduced system of differential-algebraic equations. (More)

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Paper citation in several formats:
Harder D., Skeli E. and Weidemann D. (2018). Modelling and Simulation of High-viscosity, Non Iso-thermal Fluids with a Free Surface.In Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-758-321-6, pages 557-563. DOI: 10.5220/0006857405670573

@conference{icinco18,
author={Dimitri Harder and Edmond Skeli and Dirk Weidemann},
title={Modelling and Simulation of High-viscosity, Non Iso-thermal Fluids with a Free Surface},
booktitle={Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2018},
pages={557-563},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006857405670573},
isbn={978-989-758-321-6},
}

TY - CONF

JO - Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - Modelling and Simulation of High-viscosity, Non Iso-thermal Fluids with a Free Surface
SN - 978-989-758-321-6
AU - Harder D.
AU - Skeli E.
AU - Weidemann D.
PY - 2018
SP - 557
EP - 563
DO - 10.5220/0006857405670573

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